return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: B3LYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-154.710171
Energy at 298.15K-154.713200
HF Energy-154.710171
Nuclear repulsion energy98.764770
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3237 3128 0.00      
2 Ag 1630 1575 0.00      
3 Ag 1112 1075 0.00      
4 Ag 954 922 0.00      
5 Au 869 840 0.00      
6 Au 541 523 0.00      
7 B1g 858 829 0.00      
8 B1u 3226 3117 33.93      
9 B1u 1637 1582 3.66      
10 B1u 1057 1021 0.36      
11 B2g 584 565 0.00      
12 B2u 3205 3097 22.94      
13 B2u 1263 1220 39.42      
14 B2u 702 678 9.03      
15 B3g 3189 3081 0.00      
16 B3g 1183 1143 0.00      
17 B3g 854 825 0.00      
18 B3u 576 557 143.37      

Unscaled Zero Point Vibrational Energy (zpe) 13338.2 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 12888.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-311G*
ABC
0.57031 0.42539 0.24365

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.666 0.789
C2 0.000 0.666 -0.789
C3 0.000 -0.666 0.789
C4 0.000 -0.666 -0.789
H5 0.000 1.433 1.553
H6 0.000 1.433 -1.553
H7 0.000 -1.433 1.553
H8 0.000 -1.433 -1.553

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.57871.33162.06531.08252.46472.23363.1451
C21.57872.06531.33162.46471.08253.14512.2336
C31.33162.06531.57872.23363.14511.08252.4647
C42.06531.33161.57873.14512.23362.46471.0825
H51.08252.46472.23363.14513.10562.86664.2263
H62.46471.08253.14512.23363.10564.22632.8666
H72.23363.14511.08252.46472.86664.22633.1056
H83.14512.23362.46471.08254.22632.86663.1056

picture of cyclobutadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 90.000 C1 C2 H6 134.849
C1 C3 C4 90.000 C1 C3 H7 135.151
C2 C1 C3 90.000 C2 C1 H5 134.849
C2 C4 C3 90.000 C3 C1 H5 135.151
C4 C2 H6 135.151 C4 C3 H7 134.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.193      
2 C -0.193      
3 C -0.193      
4 C -0.193      
5 H 0.193      
6 H 0.193      
7 H 0.193      
8 H 0.193      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.827 0.000 0.000
y 0.000 -20.859 0.000
z 0.000 0.000 -21.983
Traceless
 xyz
x -5.406 0.000 0.000
y 0.000 3.546 0.000
z 0.000 0.000 1.860
Polar
3z2-r23.720
x2-y2-5.968
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.959 0.000 0.000
y 0.000 7.250 0.000
z 0.000 0.000 5.841


<r2> (average value of r2) Å2
<r2> 57.959
(<r2>)1/2 7.613